Question

What do you understand by complex society with examples

Answer 1

A complex society is a social formation that is described as a formative or developed state. The main parts of complexity are :

The extent of a division of labour in which member of society are more or less permanently specialized in particular activities and depend on others for goods and services, within a system regulated by custom and laws.

The popular size of a human community is the larger then population, the more complex  and variegated the co-existence of people tends to become.

Answer 2

a complex society is a social formation that is described as a formative or developed state.
 The main parts of complexity are:

 the extent of a division of labour in which members of society are more or less permanently specialized in particular activities and depend on others for goods and services, within a system regulated by custom and laws.

the population size of a human community; the larger the population, the more complex and variegated the co-existence of people tends to become.

Social complexity in this sense thus refers typically to political complexity, specifically the presence of a hierarchy in the form of a ruling elite supported by bureaucrats, with associated paraphernalia such as administrative buildings and elite residences in urban or proto-urban population centres.

Complex societies under this definition are also agricultural to provide the surplus required to support a social (non-food producing) elite.
 Explaining the origins of these types of social formations, which appear in many areas of the world, is one of the tasks of archaeology (see, e.g., History & Mathematics: Historical Dynamics and Development of Complex Societies